Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 40001, 40007 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 40001 and 40007 is 1.
GCF(40001,40007) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 40001
13 | 40001 |
17 | 3077 |
181 | 181 |
1 |
Prime factors of 40001 are 13,17,181. Prime factorization of 40001 in exponential form is:
40001 = 131×171×1811
Prime Factorization of 40007
11 | 40007 |
3637 | 3637 |
1 |
Prime factors of 40007 are 11,3637. Prime factorization of 40007 in exponential form is:
40007 = 111×36371
∴ So by taking common prime factors GCF of 40001 and 40007 is 1
Factors of 40001
List of positive integer factors of 40001 that divides 40001 without a remainder.
1,13,17,181,221,2353,3077,40001
Factors of 40007
List of positive integer factors of 40007 that divides 40007 without a remainder.
1,11,3637,40007
Greatest Common Factor
We found the factors and prime factorization of 40001 and 40007. The biggest common factor number is the GCF number.
So the greatest common factor 40001 and 40007 is 1.
Also check out the Least Common Multiple of 40001 and 40007
(i) The GCF of 40001 and 40007 is associative
GCF of 40001 and 40007 = GCF of 40007 and 40001
1. What is the GCF of 40001 and 40007?
Answer: GCF of 40001 and 40007 is 1.
2. What are the Factors of 40001?
Answer: Factors of 40001 are 1, 13, 17, 181, 221, 2353, 3077, 40001. There are 8 integers that are factors of 40001. The greatest factor of 40001 is 40001.
3. What are the Factors of 40007?
Answer: Factors of 40007 are 1, 11, 3637, 40007. There are 4 integers that are factors of 40007. The greatest factor of 40007 is 40007.
4. How to Find the GCF of 40001 and 40007?
Answer:
Greatest Common Factor of 40001 and 40007 = 1
Step 1: Find the prime factorization of 40001
40001 = 13 x 17 x 181
Step 2: Find the prime factorization of 40007
40007 = 11 x 3637
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 40001 and 40007 is 1